4000800061 has 2 divisors, whose sum is σ = 4000800062. Its totient is φ = 4000800060.

The previous prime is 4000800031. The next prime is 4000800091. The reversal of 4000800061 is 1600080004.

4000800061 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (4000800031) and next prime (4000800091).

It can be written as a sum of positive squares in only one way, i.e., 3767627161 + 233172900 = 61381^2 + 15270^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000800061 - 2¹¹ = 4000798013 is a prime.

It is a super-2 number, since 2×4000800061² = 32012802256195207442, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000800031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000400030 + 2000400031.

It is an arithmetic number, because the mean of its divisors is an integer number (2000400031).

Almost surely, 2^4000800061 is an apocalyptic number.

It is an amenable number.

4000800061 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000800061 is an equidigital number, since it uses as much as digits as its factorization.

4000800061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4000800061 is about 63251.8779246909. The cubic root of 4000800061 is about 1587.5068797189.

Adding to 4000800061 its reverse (1600080004), we get a palindrome (5600880065).

The spelling of 4000800061 in words is "four billion, eight hundred thousand, sixty-one".